Stability regions of linear canonical systems with periodic coefficients

Journal of Applied Mathematics and Mechanics

Volumn 62, Issue 1, 1998, Pages 37-42

  Zevin, A A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032325060     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(98)00004-5     Document Type: Article

References (9)

1. 1. GEL'FAND, I. M. and LIDSKII, V. B., The structure of the stability regions of linear canonical systems of differential equations with periodic coefficients. Uspekhi Mat. Nauk., 1955, 10, 1, 3-40.
2. 2. YAKUBOVICH, V. A. and STARZHINSKII, V. M., Linear Differential Equations with Periodic Coefficients and their Applications. Nauka, Moscow, 1972.
3. 3. YAKUBOVICH, V. A., The work of M. G. Krein on the theory of linear periodic Hamiltonian systems. Ukr. Mat. Zh., 1994, 46, 1/2, 128-144.
4. 4. KREIN, M. G., The fundamental propositions of the theory of λ-zones of stability of a canonical system of linear differential equations with periodic coefficients. In In Memory of A. A. Andronov. Izd. Akad. Nauk SSSR, Moscow, 1955, 413-498.
5. 5. WEYL, H., The Classical Groups, their Invariants and Representations. Princeton University Press, Princeton, NJ, 1946.
6. 6. KREIN, M. G. and LYUBARSKII G. Ya., The analytic properties of multipliers of periodic canonical differential systems of the positive type. Izv. Akad. Nauk SSSR, Ser. Mat., 1962, 26, 4, 549-472.
7. 7. YAKUBOVICH, V. A., The properties of convexity of the stability regions of linear Hamiltonian systems of differential equations with periodic coefficients. Vestnik LGU. Ser. Mat. Mekh. Astron., 1962, 13, 3, 61-68.
8. 8. BOLOTIN, V. V., Dynamic Stability of Elastic Systems. Gostekhizdat, Moscow, 1956.
9. 9. YAKUBOVICH, V. A. and STARZHINSKII, V. M., Parametric Resonance in Linear Systems. Nauka, Moscow, 1987.